A129533

View A129533 at the OEIS

identification: the entry's rule defines the sequence for every index; tail: the sequence is the entry's tail after some prefix rows; match_*: finite agreement only.

• A129533: Array read by antidiagonals: T(n,k) = binomial(n+1,2)*binomial(n+k,n+1) for 0 <= k <= n. (identification)
  A007318 → (−1/2)D²+(−1/2+(1/2)n)D
  0, 1 · 0, 3, 3 · 0, 6, 12, 6 · 0, 10, 30, 30, 10 … row sums 0, 0, 1, 6, 24, 80, 240, 672, …
  A129533 (−∞, ∞) nonnegative rational roots